Answer: x = 18
y=32
Step-by-step explanation: Let the two No.s be x and y respectively
x = Smaller no.
y = Larger no.
Given = y-x = 14
∴ y = 14+x
∴x=x
2(x) + y/2 = 52
2(x) + (14+x)/2 = 52
∴4x/2 + 14+x/2 = 52
(4x+14+x)/2 = 52
5x+14 = 52×2=104
∴5x+14= 104
5x=104-14=90
5x=90
∴x=90/5= 18
∴y=14+x
y=14+18=32